A 40-mm-diameter solid shaft is subjected to an axial force of P = 2790 N, a vertical force of V = 1650 N, and a concentrated torque of T = 50 N-m, acting in the directions shown. Assume L = 130 mm. Determine the horizontal shear stress τxy at point K.
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A 40-mm-diameter solid shaft is subjected to an axial force of P = 2790 N, a vertical force of V = 1650 N, and a concentrated torque of T = 50 N-m, acting in the directions shown. Assume L = 130 mm. Determine the horizontal shear stress τxy at point K.
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- Q3/A solid circular shaft is subjected to a bending moment of 3000 N.m and a torque of 10000 N.m. The shaft is made of 45 C 8 steel having tensile stress of 116 MPa and a shear stress of 83 MPa. determine the diameter of the shaft.at B. The allowable shear stress in the steel is 40 MPa. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the with diameterd = 38 mm transmits 37 kw malit X7-3A motor driving a solid circular steel shat shaft does not exceed the allowable limit. Motor d = 38 mmThe sbaft shown overhangs a bearing on the right and has the following dimensions: a - 5 in., b - 4 in., and - 10 in. The material is AISI C1040. annealed. This shaft is subjected to a torque T 10,000 in-lb., forces F - 10,000 lb. and F, 20,000 lb. Using a atatio-design approach, determine the diameter D for N 2.5, with eomputa- %3D Answer: a) Dia. = _inches %3D %3D %3D tions from the maximum shear stress theory. Note: Use Sy = 48,000 psi F2 N M
- Member ABCD is a hollow circular steel shaft with a 4 inch outer diameter and a 3 inch inner diameter. It is rigidly attached to the wall at A. Externaly applied torques are TB of 1338 lb-ft, Tc of 1117 lb-ft, and TD of 884 lb-ft. Firstly obtain the internal torque generated, then calculate and input the maximum shear stress in section BC of the shaft: (f v max) = ___________ lb/in.2. Pay attention to unit conversion and calculate your answer to 1 decimal place.A solid brass shaft is loaded as shown below by two torques TB- segments are LAB = 700 mm and LBC 600 mm. A dBc = dAB mm LAB mm B Com dBC For brass, G = 41 GPa. Neglect the effect of any stress concentrations. LBC Determine the smallest diameters dAB and dBC for which an allowable shear stress of 50 MPa is not exceeded. Express each diameter as an integer in units of mm. dAB To 1100 Nm and Tc = 300 Nm. The lengths of the two Determine the magnitude of the total angle of twist in the shaft caused by the two applied torques for the diameters found previously Express your result in units of radians with five decimal places of accuracy. PAC = radA2000-in diameter solid shaft is subjected to an adal force of P- 560 Ib, a horizontal shear force of V-320 lh, and a concentrated torque of T- 900 Ib-in, acting in the directions shown. Assume that L-7.0 in Determine the normal and shear stresses at a) point H (b) point K For each point, show thesa stresses on a stress element. Answers (a) point H o, psi psi psi (b) point K o, - psi psi psi
- The steel shaft of a socket wrench has adiameter of 8.0 mm and a length of 200 mm (seefigure).If the allowable stress in shear is 60 MPa, whatis the maximum permissible torque Tmax that may beexerted with the wrench?Through what angle f (in degrees) will the shafttwist under the action of the maximum torque?(Assume G = 78 GPa and disregard any bending ofthe shaft.)x Question: The diameter of shaft used in the below design is 90 mm. Identical pulleys are used in the design with a radius of 160 mm. The forces acting on the system are defined as follow: F₁ = 1P kN; F₂ = 8P kN; F3 = 2P kN; F₁ = 6P kN; F5 = 4P kN; F = 7P kN. Employing the maximum shear stress theory, calculate the maximum permissible P for a safe design experience. L₁ = 1.4m; L₂ = 1.8 m; L3 = 1.4m; L4 = 1.6 m; allow = 75 MPa (allowable strength, σs) A F₁ F₂ L2 m F4 B 3 F6 FsThe motor shown supplies 126 hp at 1340 rpm at A. Shafts (1) and (2) are each solid 1.86-in.-diameter steel [G=11400 ksi] shafts with lengths of L₁ = 79 in. and L₂=105 in., respectively. Assume Ng-27 teeth and N-42 teeth. The bearings shown permit free rotation of the shafts. (a) Determine the maximum shear stresses T₁, T2 produced in shafts (1) and (2). (b) Determine the rotation angle D/A of gear D with respect to flange A. Answers: (a) T₁ = (b) P DIA Nc WWAMACOM Save for Later C 9.3808 = i 2.1378 eTextbook and Media NB L₁ B D TD ksi, 1₂: = i 14.5924 ksi. Attempts: 1 of 5 used Submit Answer
- The motor shown supplies 126 hp at 1340 rpm at A. Shafts (1) and (2) are each solid 1.86-in.-diameter steel [G=11400 ksi] shafts with lengths of L₁ = 79 in. and L₂ = 105 in., respectively. Assume Ng-27 teeth and N-42 teeth. The bearings shown permit free rotation of the shafts. (a) Determine the maximum shear stresses T₁, T2 produced in shafts (1) and (2). (b) Determine the rotation angle DA of gear D with respect to flange A. Answers: (a) T₁ = (b) P DIA Nc WWAMACOM Save for Later C 9.3808 = i 2.1378 e Textbook and Media NB L₁ B D TD ksi, 1₂: = i 14.5924 ksi. Attempts: 1 of 5 used Submit AnswerLet's consider a solid circular shaft subjected to the torque loads as shown Determine the minimum required diameter "D" if the shaft is made of a material having a yielding shear stress Ty = 100 MPa, for a factor of safety FS = 2. The polar moment of inertia of a solid circular cross-section is given by Jr.R¹/2. 300 mm B 600 mm 100 N.m 500 N.m 600 mm 400 N.mA hollow shaft with an outside diameter of 149 mm and an inside diameter of 140 mm is subjected to both a torque of T-65 kN-m and an axial tension load of P-68 kN, as shown. Determine the normal and shear stresses at point Hand show them on a stress element. (1) Answers: MPa. MPa, Tay MPa, n, =